When any person files with the city clerk or recorder of any city of the first or second class or any incorporated town in this state a petition signed by ten (10) or more persons claiming to be owners of real property in the city or town and including a majority of the owners of real property abutting upon any alley running through or across any part of any block in the city, with this petition stating that the land embraced in the alley or any part thereof is needed for the purpose of building on the lands any public school, hospital, orphanage, or church building, or any addition to those buildings, and praying that the alley be vacated as a whole or in part and, if not as a whole, describing specifically the part of the alley desired to be vacated, then it shall be the duty of the city clerk or recorder to give notice of the filing of the petition by publication in some newspaper published in the city or town, by one (1) insertion. If no newspaper is published therein, notice shall be given by publication of the notice, by one (1) insertion, in any newspaper published in the county and shall call upon the owners of real property abutting upon the alley and upon all other persons, firms, and corporations, to appear before the council of the city or town at its next regular meeting to be held after ten (10) days from the date of the notice and show cause, if any they can, why the petition should not be granted and the alley vacated.